3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the nearest whole degree. ​

3. Use Trigonometric Ratios To Solve For The Variable. Show Your Work. Round Lengths To The Nearest Tenth

Answers

Answer 1

Answer:

x = 3.4

Step-by-step explanation:

recall that for a right angle with an internal angle θ,

cos θ = adjacent length / hypotenuse

in our case,

θ = 55 deg

adjacent length = x units

hypotenuse = 6 units

substitute these into the formula above

cos θ = adjacent length / hypotenuse

cos 55 = x / 6    (multiply both sides by 6)

x = 6 cos 55 (use calculator)

x = 3.4415

x = 3.4  (rounded to nearest tenth)


Related Questions

you have 5 items. how many combinations of two are possible and what equation do you use to find out

Answers

Answer:

okay so the first one can be any of teh five

teh second one is onyl 4 of them bc u've already used one

so we do : 4*5 which is 20

The figure shows a swing blown to one side by a

breeze. As long as the seat of the swing is parallel to

the top bar, the swing makes a parallelogram. In

ABCD, DC = 2 ft, BE 41/2 ft, and m<BAD = 75°​

Answers

Answer:

AB=2 ft

ED=4.5 ft

BD=9 ft

m∠ABC=105°

m∠BCD=105°

m∠ADC=75°

Step-by-step explanation:

(92 - 12) – 4 = 2 (2 + for
4.0)
I

Answers

Answer:

Step-by-step explanation:

(92 - 12) – 4 = 2 (2 + for

4.0)

I

WILL GIVE BRAINLIEST!
What are the x intrcepts?
Equation= y=x^2-9x+20. (Factored its (x-4)(x-5)

What is the Y intercept? Hint: use the equation y=x^2-9x+20

Answers

Answer:

x intercept (4,0) and (5,0)

y intercept (0,20)

Answer:

y- intercept = 20

Step-by-step explanation:

Given

y = x² - 9x + 20

To find the y- intercept let x = 0 in the equation, that is

y = 0² - 9(0) + 20

  = 0 - 0 + 20 = 20 ← y- intercept or (0, 20) in coordinate form

free brainliest cuz im lit not really tho but just hurry up and stop reading this and answer

Answers

Answer:

i really need a brainliest

Step-by-step explanation:

IMMM LITTTTT ‼️‼️‼️ HYPEREED UP

WILL GIVE 5 STARS
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.

Answers

Answer:

Step-by-step explanation:

to know:

-to be paralel the lines have to have the same slope

-to be perpendicular the slope has to be negative invers of thhe other

-to be neither has to be none of the above two

equation to compare to is

y=mx+b where m is the slope

if your equation does not have this form make it have this form

2y=3x+1 so divide by 2

y=[tex]\frac{3}{2}[/tex] x+1 so here the slope is [tex]\frac{3}{2}[/tex]

4x+6y=14 so subtract 4x and then divide by 6 to isolate y

6y= -4x+14

y=[tex]\frac{-4}{6}[/tex]  x + [tex]\frac{14}{6}[/tex]  symplify

y=[tex]\frac{-2}{3}[/tex] x + [tex]\frac{7}{3}[/tex]  so the slope here is [tex]\frac{-2}{3}[/tex]

So if you compare the slopes you can see that are negative reciprocal of eachother so the lines are perpendicular

and so on...

the sum of two numbers is 18 their difference is 4

Answers

Answer:

7 and 11

Step-by-step explanation:

4x - 9 = 35
Given: 4x– 9 = 35
Prove: x= 11
What are the reasons for the statements below?
4x - 9 = 35
4x = 44
X=11

Answers

Answer:

Step-by-step explanation:

4x - 9 = 35                   Add 9 to both sides

4x - 9 +9 = 35 + 9        Combine like terms

4x = 44                         Divide both sides by 4

4x/4 = 44/4                  Complete the division

x = 11

HELP PLEASE GET BRAINLIST!!

solve for x,
90 - 3/2x ≤ 30

Answers

Answer: x>- -40

Step-by-step explanation:

If Sam kicks a soccer ball that has a mass of 10 kg with an acceleration of 22 meters per second squared, what is the force he kicked the ball with?
A. 22 Newtons
B. 220 Newtons
C. 2222 kg
D. 220 kg

Answers

Answer:

220 i think but im not sure

Step-by-step explanation:

There are 8 people working on a project with m tasks, and for each task, there are 4 people participating in. We know that any two persons work n tasks, n>0. What is the minimal value of m?

Answers

Answer:

2 tasks because you look and it says there are  8 people and 4 for each task

Step-by-step explanation:

hope this helps

qual é 33⅓% de 108?​

Answers

0.333 x 108 = 35.96
= 36 (esta é a resposta final, eu não sei se você realmente precisa dela)

Grace paid $54.40 for 8 outdoor pathway lights. Travis paid $40.25 for 5 of the same lights at a different store.who paid less per light.

Answers

Answer:  Travis paid $8.05 per light and grace paid $6.8 per light so its grace

Step-by-step explanation:

Answer:

Answer:  Travis paid $8.05 per light and grace paid $6.8 per light so its grac

Step-by-step explanation:

X+3y>-8 which order pair is the inequality
-6,0
-5,1
-16,2
-1,-2
0,-3

Answers

Answer:

(-6, 0)

(-5, 1)

(-1, -2)

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x + 3y > -8

(-6, 0) ?

(-5, 1) ?

(-16, 2) ?

(-1, -2) ?

(0, -3) ?

Step 2: Check 1

Substitute:                    -6 + 3(0) > -8Multiply:                        -6 > 8Check:                          -6 > 8 ? Yes

Step 3: Check 2

Substitute:                    -5 + 3(1) > -8Multiply:                        -5 + 3 > 8Add:                              -2 > -8Check:                          -2 > -8 ? Yes

Step 4: Check 3

Substitute:                    -16 + 3(2) > -8Multiply:                        -16 + 6 > -8Add:                              -10 > -8Check:                          -10 > -8 ? No

Step 5: Check 4

Substitute:                    -1 + 3(-2) > -8Multiply:                        -1 - 6 > -8Subtract:                       -7 > -8Check:                           -7 > -8 ? Yes

Step 6: Check 5

Substitute:                    0 + 3(-3) > -8Multiply:                        -9 > -8Check:                           -9 > -8 ? No

Which expression is equivalent to 9q2-(3q - 7) +5q??
) ?
3

Answers

[tex]9q^2-(3q - 7) +5q= \\\\=9q^2-3q + 7 +5q= \\\\=9q^2+2q + 7[/tex]

Bev writes three numbers on a piece of paper.

• The first number is even.

• The second number is odd.

• The third number is even.

Which set of numbers could Bey have written?

14, 18, 16

19, 12, 15

12, 17, 14

10, 15, 19

Answers

Question

Bev writes three numbers on a piece of paper.

The first number is even. The second number is odd. The third number is even.

Which set of numbers could Bey have written?

14, 18, 16

19, 12, 15

12, 17, 14

10, 15, 19

Answer:

12, 17, 14

Step-by-step explanation:

14, 18, 16  = 14(even), 18(even), 16(even) = cannot be the correct answer

19, 12, 15  = 19(odd), 12(even), 15(odd) = cannot be the correct answer

12, 17, 14  = 12(even), 17(odd), 14(even) = is the correct answer

10, 15, 19  = 10(even), 15(odd), 19(odd) = cannot be the correct answer

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

Answers

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

On Monday, Dalaya had $15. On Tuesday, she bought a T-shirt for $12. On Wednesday, she found $5.50 on the street. On Friday, she found $3 in her pocket, and then spent $8 on a cheeseburger for lunch.

Write two expressions to represent the changing amounts of money Dalaya has: one using only addition and one using only subtraction.
Determine how much money Dalaya has by the end of the day on Friday. Show your work to justify your answer.

Answers

Answer:

$3.50 at the end of friday. 15-12+5.50+3-8 hope that helped.

Step-by-step explanation:

What is the equation of the line in slope-intercept form that passes through the point (-9, 3) and has a slope of 2/3?

Answers

Answer:

y= -2/3x-3

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b. m=Slope. b=y-intercept. Therefore the equation would be y= -2/3x-3

Answer:

y=2/3x + 9

Step-by-step explanation:

The area of a square is 108 ft2 Which of the following represents the length of one side? /

Answers

Answer:

9.684925e-7

Step-by-step explanation:

a number of park tickets are purchased online.Each ticket costs $25 and it costs $8 to ship the entire order. Write an expression to represent the total cost for t tickets. Then find the total cost if 12 tickets are purchased

Answers

Answer:

25x + 8 = t 25(12) + 8 = 308

Step-by-step explanation:

x = amount of tickets

t = total cost

expand this question
(a+3)(a+5)

Answers

Answer:

Work shown below!

Step-by-step explanation:

(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]

(a+3)(a+5)
a(a+5)+3(a+5)
a^2+5a+3a+15
a^2+8a+15

A lab technician draws a sample of blood. A cubic millimeter of the blood contains 22^3 (the 3 is an exponent) white blood cells and 22^5 (the 5 is an exponent) red blood cells. What is the ratio of white blood cells to red blood cells?

Answers

Answer:

484 : 1

Step-by-step explanation:

We can write white blood cells to:

22^5 = 22 × 22 × 22 × 22 × 22

We can write red blood cells to:

22³ = 22 × 22 × 22

Thus, white : red equals

22 (5 times) : 22 (3 times)

22² : 22^0 = 484 : 1

I hope this helps you :)

The required ratio of white blood cells to red blood cells is 1:484.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
A cubic millimeter of blood contains 22³, white blood cells, and 22⁵ red blood cells.

The ratio of white to red blood cell is given as,
Ratio = 22³/22⁵
Ratio = 1 / 484

Thus, the required ratio of white blood cells to red blood cells is 1:484.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2


Please please please help

Answers

Answer:

-4/9

Step-by-step explanation:

-4 x 5 = -20

5 x 9 = 45

so you have -20/45

divide by 5 for both and you get -4/9

Hope this helps!!

what is the degree measure of f?

Answers

Answer:

98

Step-by-step explanation:

hi there i dont kno but u can ask your mom

Answer the Question Below with Explanation

Answers

Answer:

8 workers

Step-by-step explanation:

This a ratio type of question, you want to identify the similarities between 6 workers and 3 days. Ignore the 8 hours part, it's to mess with you!

6=The amount of workers

3=The amount of days it took them to complete a wall

6/3=2

So by increasing the amount of workers by to you'll get 8 workers.

Find the area enclosed by the cardioid r = 1 − sin θ (4 points)

answer choices
3 times pi over 2


12π

Answers

Answer:

Step-by-step explanation:

can someone help me with this question 2x+3=15 is x

Answers

Answer:

x=6

Step-by-step explanation:

2x+3=15

subtract 3 on both sides

2x=12

x=6

The answer is 6, because 15-3 is 12, and to get 12, you would have to do 2•6, so (2•6)+3=15. So, x=6.

I need help can someone tell me what 6/10 x 1/9 is?

I need answer IMMEDIATELY

Answers

Answer:

1/15 or 0.6666666666

Step-by-step explanation:

Answer: 1/15 tell me if its wrong

Step-by-step explanation:

Translate this sentence into an equation.
51 is the sum of 17 and Chrissy's height.
Use the variable c to represent Chrissy's height.

Answers

Answer:

c + 17 = 51

Step-by-step explanation:

Other Questions
Need help !!ILL GIVE BRAINLEST! Is x+y=1 a linear equation? Read the book " The Graveyard Book" then answer these questionsMister Owenss insistence that the baby has nothing to do with us and is no part of our world (page 9) mainly suggests that A. Mister Owens is more timid than his wifeB. the baby is scared of ghostsC. Mister and Mistress Owens never had a child of their ownD. the ghostly inhabitants are discouraged from interacting with the livingThe appearance of the strange, static-like ghost (page 10) mainly reveals thatA. the mother and the baby will miss each otherB. ghosts are capable of being scaredC. the mother's ghost is a well-known resident of the graveyardD. the baby's mother has recently died, and the man Jack had something to do with itWhich of the following inferences about Jack and The Stranger is best supported by page 14?A. The Stranger senses Jack's bad motives for being in the graveyard.B. The Stranger and Jack think the baby's crying sounds like a fox.C. The Stranger is waiting for the right moment to take Jack's knife.D. The Stranger uses dark magic and telepathy to get Jack to leave.Which of the following statements about the graveyard community is most strongly supported by the text?A. They treat Mistress Owens as an outcast because she is recently dead.B. They are cautious of the living and think the graveyard is not the place for a baby.C. Most of the community is opposed to the adoption because they don't trust Mistress Owens.D. The community fears that the resident foxes may harm the baby.Which of the following reasons best explains why Mistress Owens wants to adopt the mysterious baby?A. Because she and Mr. Owens never had a child while they were aliveB. Because the ghost of the boys mother begs them to keep her son safeC. both A and BD. neither A nor BWhich quotation from the text best supports the answer to Question 5?A. [Mistress Owens:] Yes! If we can, then we will. Owens? Will you be a father to this little lad?B. [Mistress Owens:] We never had a child and his mother wants us to protect him.C. [Mister Owens:] Then yes, if you will be its mother, I will be its father.D. [Mistress Owens:] Shell not come here again. Next time she wakes, itll be in her own graveyard.Which of the following statements about The Stranger (Silas) is most strongly supported by pages 18-20?A. He is an outsider whom none of the other ghosts in the cemetery respect.B. He is feared by the ghosts of the graveyard, but the living dont find him very scary.C. He is older than any of the other ghosts in the cemetery.D. He compliments and flatters people in order to persuade them to do things his way.Which quotation from the text best supports the answer to Question ?A. [Silas:] For good or evil and I firmly believe that it is for good Mrs. Owens and her husband have taken this child under their protection.B. [Silas to Male Ghosts:] I can leave the graveyard and return. I can bring him food.C. [Silas to Female Ghost:] You are a wise woman. I see why they speak so highly of you.D. [Silas to Mrs. Owens:] Well, then, suppose we pick a name for him.Yo i rlly need help cs i read the book nd im still lost lol Select the correct answer. Solve the equation for x in terms of c. 2/3(cx + 1/2) - 1/4 = 5/2 if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb witha mean of 130 and 27.3 The difference in a brass rod and steel rod is same as 12cm at all temperature .Find the length of the rod at 0C.(Alpha b =1810^-6k^-1 and alpha s =1210^-6k^-1) solve for z-7 = [tex]\frac{z}{-6}[/tex] If there was 26% Adenine, how much thymine would there be PLEASE HLEP WITH QUESTION ONE PLS1. Given the diagram to the right and information below, determinewhich lines, if any, are parallel. 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Angelo has better vision than Jonah does.B. There is a fire near the river.O OGO OC. Angelo doesn't smell the smoke.D. The river is closer than they think. PLEASE HELP MEE !!!! what is the distance between (2,7) and(4,2) How many molecules are there in .0023kg of NH4SO2? I need the answer ASAP! How does the Newtons Law relate to the force of gravity The Himalayas are an example of a mountain range created by two plates colliding at a __________ boundary.A.transformB.divergentC.convergentD.oceanicAnd brainliest if right What would this be I need help ? I WILL MARK BRAINLIST